Answer:
yes, (0,0) is a solution for the system of equations.
Step-by-step explanation:
y < -x + 3 ,we would then plug in the ordered pair which changes that equation to 0 < 0 +3 (which is just 0 < 3) and that is true.
Then we plug in the ordered pair for the second equation, which changes it to 0 < 2 or 0 < 0 + 2.
Now, since the inequalities are true, the ordered pair works for the system.
(sorry if that was confusing)
18x- 15
hope it helps
(11x-8)+7(x-1)
___________
(11x-8)+(7x-7)
___________
(11x+7x)+(-8-7)
___________
18x-15
Answer:
735 mm³
Step-by-step explanation:
refer to attached picture
volume = lwh
given: area of base = lw = 49 mm²
hence formula can be re-written
volume = (area of base) x h
= 49 x 15
= 735 mm³
Answer:
n=9
Step-by-step explanation:
7n+5=68 Subtract 5 on both sides.
<u>-5 -5</u>
7n=63 Divide both sides by 7.
<u>/7 /7</u>
n=9
Hope this helps! Have a nice day ^^
Let's start with x... Since angle AOE is a 90 degree angle, then we know the supplementary angle EOB is also 90 degrees. The 2 angles that make up angle EOB are given to us as expressions. Added together the must equal 90 degrees...
(x+8) + (2x-8) = 90
3x = 90
x = 30
Now if we look at y, we see it is an opposite angle from angle DOB. Because it is opposite, it is also congruent... so it has to be equal to angle DOB... and since angle DOB is 2x - 8, we can substitute x with the answer we found in the last step, 30, to find the angle.
2x - 8= y
2(30) - 8 = y
60 - 8 = y
y = 52 degrees
Since angle DOB equals 52 degrees, then y = 52 degrees
x = 30 degrees
y = 52 degrees
*Note, you can also find the value of angles GOF and EOD by plugging x (30) into the expressions.
